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12112142000 = 24537865153
BaseRepresentation
bin10110100011111000…
…01001111010110000
31011021010010120020212
423101330021322300
5144301202021000
65321513123252
7606102336230
oct132174117260
934233116225
1012112142000
115155a96612
1224203b9528
1311b0469b3a
1482c88dcc0
154ad522c35
hex2d1f09eb0

12112142000 has 80 divisors (see below), whose sum is σ = 33471077952. Its totient is φ = 4152729600.

The previous prime is 12112141981. The next prime is 12112142017. The reversal of 12112142000 is 24121121.

It is a happy number.

12112142000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418577 + ... + 446576.

Almost surely, 212112142000 is an apocalyptic number.

12112142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112142000 is an abundant number, since it is smaller than the sum of its proper divisors (21358935952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12112142000 is an equidigital number, since it uses as much as digits as its factorization.

12112142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865183 (or 865167 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12112142000 its reverse (24121121), we get a palindrome (12136263121).

The spelling of 12112142000 in words is "twelve billion, one hundred twelve million, one hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 865153 1730306 3460612 4325765 6056071 6921224 8651530 12112142 13842448 17303060 21628825 24224284 30280355 34606120 43257650 48448568 60560710 69212240 86515300 96897136 108144125 121121420 151401775 173030600 216288250 242242840 302803550 346061200 432576500 484485680 605607100 757008875 865153000 1211214200 1514017750 1730306000 2422428400 3028035500 6056071000 12112142000